The condensate fraction for the spin-imbalanced system with 61 majority and 19 minority species fermions is shown in Fig. REF . Six major peaks in the condensate fraction are visible at the points 2 \(G\)  units away from the origin, where \(G\)  is the magnitude of the reciprocal lattice vector. This is the first observation in a first principles simulation of pairing at finite momentum in two or more dimensions and so could be the first numerical evidence of a FFLO or other exotic spatially modulated pairing phase, but not the BCS phase. The result is qualitatively consistent with the spatially modulated pairing phase observed in experimental [1]} and numerical studies of one-dimensional systems [2]}, and with few-particle studies [3]}, [4]}. We therefore now proceed to characterise the pairing to understand the correlations in the ground state.
